Weak Perturbations of the P–laplacian
نویسنده
چکیده
We consider the p-Laplacian in R perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p > d and p = d and discuss the connection with Sobolev interpolation inequalities. AMS Mathematics Subject Classification: 49R05, 35P30
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